WRITE AN EQUATION IN SLOPE INTERCEPT FORM OF THE 
LINE SATISFYING THE GIVEN CONDITIONS. PASSES 
THROUGH(5,4) AND (6,-1)

We need two things:  the slope formula and the 
point-slope form of a line:

Slope formula for the line thru (x1,y1) and (x2,y2):

     y2 - y1
m = ---------
     x2 - x1

Point-slope form for the equation of the line with 
slope = m passing thru (x1,y1)

y - y1 = m(x - x1)

--------------------------------------------------------

(x1,y1) = (5,4) and (x2,y2) = (6,-1)

     y2 - y1     (-1) - (4)      -5
m = --------- = ------------ =  ----- = -5 
     x2 - x1      (6) - (5)       1


y - y1 = m(x - x1)

y - 4 = -5(x - 5)

Now when you simplify this, you will have 
the slope-intercept form y = mx + b

y - 4 = -5(x - 5)

y - 4 = -5x + 25

    y = -5x + 29

The slope is the coefficient of x, which is 5
and the y-intercept is (0,29)

Edwin